关于整函数加权空间的强增长条件
泛函分析
2024-08-16 v2 复变函数
摘要
我们刻画了具有快速递减增长的整函数加权类之间的包含关系，并研究了给定权之间的强增长比较关系。在我们的考虑中，首先关注基于给定序列的所谓关联权函数定义的权重，其中权（系统）基于一个给定序列。然后，通过使用所谓的关联权序列，将抽象权函数情形归结为权序列设定。最后，我们比较了由所谓的伸缩型和指数型权系统定义的加权整函数空间。
引用
@article{arxiv.2401.14330,
title = {On strong growth conditions for weighted spaces of entire functions},
author = {Gerhard Schindl},
journal= {arXiv preprint arXiv:2401.14330},
year = {2024}
}
备注
30 pages; this is the second part of the first version of submission arXiv:2211.14374. The proofs of Prop. 4.7 & 4.12, and hence of Cor. 4.14, in the first part contain a technical gap; in the appendix of this paper we provide a correction. Some stylistic changes according to the suggestions by the anonymous referee have been applied; this version is published in Bull. Sci. math